Article | REF: AF91 V1

Non-classical Logics

Author: Jean-Charles PINOLI

Publication date: January 10, 2024 | Lire en français

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    Overview

    ABSTRACT

    This article, the third in a series of three, deals with nonclassical logics that are extensions, restrictions, or significant variations of classical logics. They have made it possible to formalize many non-deductive reasoning. A broad panorama (although not exhaustive) of more than two hundred and eighty logics is drawn up, each being presented in a succinct manner. They have largely developed in the second half of the 20th century, mainly in computer science and especially in artificial intelligence.

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    AUTHOR

    • Jean-Charles PINOLI: Professor - École Nationale Supérieure des Mines de Saint-Étienne, Saint-Étienne, France

     INTRODUCTION

    This article is the last in a series of three on logic, the first of which dealt with "logic and metalogy" [AF 88] and the second with "propositional logic and predicate logic" [AF 89] . It deals with non-classical logics, which are based on logical systems that differ from standard logical systems such as propositional logic and predicate logic. These differences are extensions, restrictions, deviations or variations of classical logics. There is a wide variety of logics addressing a wide variety of practical applications.

    Reading the articles [AF 88] and [AF 89] is not a prerequisite for understanding this article, but the reader can refer to them if necessary.

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    KEYWORDS

    fuzzy logics   |   intuitionnistic logics   |   modal logics   |   multi-valued logics


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